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Finding the Third Proportional to 447,066 and 676,377

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Solution

The third proportional to 447,066 and 676,377 is: 1,023,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,066 : 676,377 = 676,377 : x
  2. Step 2: Convert to fraction form
    447,066/676,377 = 676,377/x
  3. Step 3: Cross multiply
    447,066x = 676,377 × 676,377
  4. Step 4: Simplify right side
    447,066x = 457,485,846,129
  5. Step 5: Solve for x
    x = 457,485,846,129/447,066
  6. Step 6: Final answer
    x = 1,023,307.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.